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What is the Least Common Multiple of 68534 and 68548?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 68534 and 68548 is 2348934316.

LCM(68534,68548) = 2348934316

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Least Common Multiple of 68534 and 68548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68534 and 68548, than apply into the LCM equation.

GCF(68534,68548) = 2
LCM(68534,68548) = ( 68534 × 68548) / 2
LCM(68534,68548) = 4697868632 / 2
LCM(68534,68548) = 2348934316

Least Common Multiple (LCM) of 68534 and 68548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68534 and 68548. First we will calculate the prime factors of 68534 and 68548.

Prime Factorization of 68534

Prime factors of 68534 are 2, 34267. Prime factorization of 68534 in exponential form is:

68534 = 21 × 342671

Prime Factorization of 68548

Prime factors of 68548 are 2, 17137. Prime factorization of 68548 in exponential form is:

68548 = 22 × 171371

Now multiplying the highest exponent prime factors to calculate the LCM of 68534 and 68548.

LCM(68534,68548) = 22 × 342671 × 171371
LCM(68534,68548) = 2348934316